Make F the sunject of the formula

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To make F the subject of the formula 1/F = 1/U + 1/V, one effective method is to take the reciprocal of both sides. This transforms the equation into F = 1 / (1/U + 1/V). Alternatively, multiplying both sides by F can eliminate F from the denominator, allowing for further algebraic manipulation. The key is to combine the fractions on the right side into a single fraction before taking the reciprocal. Understanding these steps is crucial for successfully isolating F in the equation.
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This one is really hard. I have no idea even how to start. Can anyone explain how it's done?
I need to make F the subject of the formula.

1/F = 1/U + 1/V

Thanks
 
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Do you know how to manipulate \frac{1}{U}+\frac{1}{V} into a single fraction?
 
If making F the subject is all you have to do without any simplifying, the easy way would be to take the reciprocal of both sides. Or you can use some algebra and first multiply both sides by F so you don't have F in a denominator
 
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